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Noise-induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy [sic] equation
journal contribution
posted on 2014-08-11, 09:01 authored by Marc Pradas, Dmitri TseluikoDmitri Tseluiko, Serafim Kalliadasis, Demetrios T. Papageorgiou, Grigorios A. Pavliotis[We] consider the effect of pure additive noise on the long-time dynamics of the noisy Kuramoto-
Sivashinsky (KS) equation close to the instability onset. When the noise acts only on the first stable
mode (highly degenerate), the KS solution undergoes several state transitions, including critical on-off
intermittency and stabilized states, as the noise strength increases. Similar results are obtained with the
Burgers equation. Such noise-induced transitions are completely characterized through critical exponents,
obtaining the same universality class for both equations, and rigorously explained using multiscale
techniques.
Funding
We acknowledge financial support from EU-FP7 ITN Multiflow. D.T.P. was partly supported by NSF Grant DMS-0707339.
History
School
- Science
Department
- Mathematical Sciences
Published in
PHYSICAL REVIEW LETTERSVolume
106Issue
6Pages
? - ? (4)Citation
PRADAS, M. ... (et al.), 2011. Noise-induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy [sic] equation. Physical Review Letters, 106 (6), 060602.Publisher
© American Physical SocietyVersion
- VoR (Version of Record)
Publication date
2011ISSN
0031-9007eISSN
1079-7114Publisher version
Language
- en